document.write( "Question 1043647: sin θ = 5/6 \n" ); document.write( "

Algebra.Com's Answer #658790 by ikleyn(52908) $\"\"$ $\"About$

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\n" ); document.write( "sin θ = 5/6
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document.write( "If  = , then\r\n" );
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document.write( " = +/- = +/- = +/- = +/- = +/- = +/-.\r\n" );
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document.write( "So, by knowing , you can find the modulus (the absolute value) of .\r\n" );
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document.write( "But you can not determine the sign of .\r\n" );
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document.write( "It can be  \"+\" (positive)  or  \"-\" (negative).\r\n" );
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document.write( "To determine the sign, you need an additional info.\r\n" );
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document.write( "For example, if you know to which quadrant the angle  belongs, then you can determine the sign of ,\r\n" );
document.write( "and then you know everything.\r\n" );
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document.write( "When you know everything for  (and , of course), then you can calculate all other trigonometric functions.\r\n" );
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